Step-by-step explanation:
x-y=30
then y should be 15
x-15=30
x=30+15
x=45
Which of the number(s) below are potential roots
of the function?
p(x) = x4 + 22x2 – 16x - 12
+6
3
+1
+3
+8
Answer:
+1 is the potential root of the function.
Step-by-step explanation:
Given;
p(x) = x⁴ + 22x⁴ – 16x - 12
A potential root of the function is zero of the function. That is a potential root will reduce the function to zero or close to zero.
To determine this, we test each of the root given;
p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700
p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803
p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5
p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068
The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.
Answer: +-6, +-1, +-3
Step-by-step explanation: 2020edge
If now Jenny is twice as old as Leo, and 5 years ago she was three times as old as he was, how old are they now?
Answer:
Leo is 10, Jenny is 20
Step-by-step explanation:
Let's say that Jenny's current age is j, and that Leo's current age is l. With this, we can set up the following equations:
j=2l
j-5=3(l-5)
Let's use substitution and plug the first equation into the second one:
(2l)-5=3(l-5)
2l-5=3l-15
l=10
j=20
Hope this helps!
what does 5 1/2 * 4 equal
Answer:
22
Step-by-step explanation:
5 1/2 = 11/2
11/2 * 4/1
44/2
22
Answer:
22
Step-by-step explanation:
5.5 times 4 = 22
(5.5 = 5 1/2)
therefore the answer is
22
hope this helps!! ;)
HELp PLEASE WITH CORRECT ANSWER I NEED HELP I
find the area of the triangle the height is 12 in and the base is 3 in.
will mark brainliest
Answer:
18in²
Step-by-step explanation:
Answer: I know da way hehhe
Step-by-step explanation:
Base times height / 2
12*3= 36/2 =18
Roblox:Supertasticgg just follow me on roblox
SUB TO FLAMINGO IF U GET IT RIGHT hehehheheh
An element with a mass of 740 grams decays by 28.4% per minute. To the nearest minute, how long will it be until there are 30 grams of the element remaining?
Answer:t=9.6 minutes
Step-by-step explanation:
Given
mass of element is [tex]A_o=740\ gm[/tex]
Decay rate [tex]r=28.4\%\ \text{per minute}[/tex]
and we know
Amount of exponential decay is given by
[tex]A=A_o[1-r]^t[/tex]
Where [tex]A_0=\text{Initial amount}[/tex]
[tex]\text{A=Accumulated amount}[/tex]
[tex]\text{r=rate}[/tex]
[tex]\text{t=time}[/tex]
Substituting values we get
[tex]\Rightarrow 30=740[1-0.284]^t[/tex]
[tex]\Rightarrow \dfrac{30}{740}=0.716^t[/tex]
[tex]\Rightarrow 0.0405=0.716^t[/tex]
taking log both sides we get
[tex]\Rightarrow\ \ln (0.0405)=t\times \ln (0.716)[/tex]
[tex]\Rightarrow t=\dfrac{\ln (0.0405)}{\ln (0.716)}[/tex]
[tex]\Rightarrow t=9.598\approx 9.6\ \text{minutes}[/tex]
Answer:
Delta math it’s 10
Step-by-step explanation:
whats 74.4% rounded to the nearest tenth of a percent?
Answer:
74.4
Step-by-step explanation:
It is already rounded to the nearest tenth of a percent. If it was rounded to the nearest percent it'd be 74%.
Answer:
74.4% rounded to the nearest tenth of a percent is 74.4%
Step-by-step explanation:
This is how to round 74.4 to the nearest tenth.
Firstly, 74.4 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 74
Fractional Part: 4
To round 74.4 to nearest tenth means to round the numbers so you only have one digit in the fractional part.
74.4 already has only one digit in the fractional part. Thus, 74.4 is already rounded as much as possible to the nearest tenth and the answer is:
74.4
Standard Cost Journal Entries Bellingham Company produced 4,600 units that require five standard pounds per unit at a $10.5 standard price per pound. The company actually used 22,500 pounds in production. Journalize the entry to record the standard direct materials used in production. For a compound transaction, if an amount box does not require an entry, leave it blank.
Answer:
Dr work-in-process $ 241,500.00
Cr materials $236,250
Cr direct material quantity variance $ 5,250.00
Step-by-step explanation:
The cost of the materials using standard price per pound of $10.5 is computed below:
standard cost=4,600*5*$10.5=$241,500.00
The above is debited to work in process account.
The actual cost of materials used =22,500*$10.5=$236,250.00
Since the actual cost materials is $ 236,250.00 ,the materials ledger is credited with $ 236,250.00
The direct material quantity variance=$241,500-$236,250=$5,250
Please HELP ME! I WILL ALSO MARK AS BRANLIEST!
Answer: One adult ticket is $4. One child ticket is $7
Step-by-step explanation:
Day 1:
2a + 10c = 78
Day 2:
8a + 5c = 67
2a + 10c = 78
8a + 5c = 67
Multiply Day 2 by 2 so we get the 'c' equal so we can subtract them:
Day 2: 16a + 10c = 134
Day 1: 2a + 10c = 78
Minus Day 2 from Day 1
= 14a = 56
56 / 14 = 4
So A = 4
Now substitute 4 for A in Day 1
2(4) + 10c = 78
8 + 10c = 78
10c = 78 - 8
10c = 70
c = 70 / 10
c = 7
Find ,H assuming the triangles formed are similar.
Answer:
15
Step-by-step explanation:
if you divide 20 by 8, then you get 2.5. multiply that by six, and you get your answer.
Find the distance between the points (-8,-11) and (14,-11).
Answer:
Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
Step-by-step explanation:
The answer is provided above.
Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
Hope this helps.
Hi! can anyone help me please, I dont even know where to start.
if Carlos has 42 books he wants to store on shelves. Each book is
1 3/4 inches thick. He can buy 3-foot-long shelves for $27.99 each.
How much will it cost to shelve the books?
Answer:
$83.97
Step-by-step explanation:
Let's find the total thickness of all 42 books first. To do this, we do 42 * 1.75 = 73.5 inches. We know that each shelf is 3 feet long, but we want to convert to the same unit so that it's easier to calculate, so each shelf is 3 * 12 = 36 inches long. Now, to find the number of shelves needed, we'll do total thickness/length of each shelf which is 73.5 / 36, or 2.04. Our answer has to be an integer (because you can't have half of a shelf), so do we round up or down? Well, if we rounded down, then there wouldn't be enough room for all the books, so we round up to 3 shelves instead. Because each shelf is $27.99, the price for 3 will be 27.99 * 3 = $83.97. Hope this helps!
denise bought a life insurance policy from donald, and if denise dies, the insurance company has to pay debra, whose son is douglas. who is the beneficiary of the life insurance policy? a. donald b. debra c. denise d. douglas
The correct answer is B. Debra
Explanation:
The word "beneficiary" is used to describe the individual that receives a benefit. In the case of a life insurance policy, the receiver is always the person that receives money and other benefits when the person covered by the policy dies. This implies that in the case presented, Denise is the individual covered by the policy and the beneficiary is Debra because she will receive the money once Denise dies, and therefore she is the recipient of the benefits related to the insurance policy.
What is the surface area of the cylinder? Express the answer in terms of Pi?
Cylinder. Diameter 8 centimeters. Height 18 centimeters
a
304π cm2
b
792π cm2
c
152π cm2
d
176π cm2
Answer:
176π cm2
Step-by-step explanation:
Which equation is most likely used to determine the acceleration from a velocity vs. time graph?
a = t over delta v.
m = StartFraction v subscript 1 - v subscript 2 Over x subscript 2 minus x subscript 1 EndFraction.
a = delta v over t.
m = StartFraction x subscript 2 minus x subscript 1 Over v subscript 1 - v subscript 2 EndFraction.
Answer:
[tex]a=\dfrac{\Delta v}{t}[/tex]
Step-by-step explanation:
Acceleration is the change in velocity per unit time. It is usually represented by the letter "a". An appropriate formula is ...
[tex]\boxed{a=\dfrac{\Delta v}{t}}[/tex]
The required equation for determining the acceleration from a velocity-time graph is [tex]a=\dfrac{\Delta v}{t}[/tex]equation is a=delta v over t.
We know that,
Acceleration is known as the rate of change of velocity per unit time.
The velocity vs time graph is the graph plotted between the change in velocity with the change in time.
What will be the acceleration?[tex]a=\dfrac{\Delta v}{t}[/tex]
Hence the required equation for determining the acceleration from a velocity-time graph is [tex]a=\dfrac{\Delta v}{t}[/tex].
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What is the radius of a circle with an area of 113.04 yds? (use 3.14 for pi; show your work in numbers)
Answer:
6 inches
Step-by-step explanation:
Answer:
Radius of the circle is of 3 inches.
Step-by-step explanation:
It is given that the area of the circle is 113.04,
Let the radius of the circle be of "a" units
=======================
From the properties of circle, we know : -
Area of circle = πr^2 , where r is the radius of the circle.
======================
Then, comparing the question with the identity :
= > πr^2 = 113.04 sq. inches
= > 3.14 x r^2 = 113.04 sq. inches
= > r^2 = 113.04 / 3.14 sq.inches
= > r^2 = 36 sq. inches
= > r = 6 inches
Hence,
r or radius of the circle is of 6 inches.
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PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7 I NEED A GREAT EXPLANATION WITH CORRECT ANSWER!!!!!!!!!! PLSSSSS HEEEEEEEEEEEEEEELLLPPPPPPPPP!!!!!!!!!! MEEEEE!!!!!! NOW!!!!!!!
Answer:
6.)66 degrees
7.)20 degrees
Step-by-step explanation:
Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees
If you subtract 114 from 180 you get 66 degrees
Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees
If you subtract 70 from 90 you get 20
The Department of Highway Improvements, responsible for repairing a 25-mile stretch of interstate highway, wants to design a surface that will be structurally efficient. One important consideration is the volume of heavy freight traffic on the interstate. State weigh stations report that the average number of heavy-duty trailers traveling on a 25-mile segment of the interstate is 72 per hour. However, the section of highway to be repaired is located in an urban area and the department engineers believe that the volume of heavy freight traffic for this particular section is greater than the average reported for the entire interstate.
To validate this theory, the department monitors the highway for 50 1-hour periods randomly selected throughout the month. Suppose the sample mean and standard deviation of the heavy freight traffic for the 50 sampled hours are:
Sample mean = 74.1 standard deviation = 13.3
a) Do the data support the department's theory? Use α = 0.10 to come to a conclusion based on a large sample test.
Answer:
[tex]t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116[/tex]
The degrees of freedom are given by:
[tex]df=n-1=50-1=49[/tex]
Now we can calculate the p value with the following probability:
[tex]p_v =P(t_{(49)}>1.116)=0.135[/tex]
Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.
Step-by-step explanation:
Information provided
[tex]\bar X=74.1[/tex] represent the sample mean
[tex]s=13.1[/tex] represent the sample standard deviation
[tex]n=50[/tex] sample size
[tex]\mu_o =72[/tex] represent the value that we want to test
[tex]\alpha=0.1[/tex] represent the significance level
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to analyze if the true mean for this case is higher than 72, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 72[/tex]
Alternative hypothesis:[tex]\mu > 72[/tex]
The statistic is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info we got:
[tex]t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116[/tex]
The degrees of freedom are given by:
[tex]df=n-1=50-1=49[/tex]
Now we can calculate the p value with the following probability:
[tex]p_v =P(t_{(49)}>1.116)=0.135[/tex]
Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.
the corner cafe makes a bowl of oatmeal using 6 ounces of water and 4 ounces of oats. The breakfast shop makes a bowl of oatmealusing double the amount of water and oats.
Answer:it would have 12 ounces of water and 8 ounces of oats
Step-by-step explanation:
12 ounces of water and 8 ounces of oats.
What is proportion?Proportion is an equation that defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Example, the time taken by train to cover 100km per hour is equal to the time taken by it to cover the distance of 500km for 5 hours.
Proportions are denoted by the symbol ‘::’ or ‘=’.Given,
Given, the proportion of the oatmeal in a bowl of corner café = 6 ounces of water and 4 ounces of oats.
the proportion of the oatmeal in a bowl of breakfast shop = double the amount water and oats used in corner café.
= 2×6 ounces of water and 2×4 ounces of oats
= 12 ounces of water and 8 ounces of oats
Hence, In making of oatmeal at breakfast shop there will be 12 ounces of water and 8 ounces of oats.
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A student in a wildlife biology class wants to determine the abundance of a rodent species in a local nature preserve, divided into smaller blocks. She is concerned that she only has a modest number of traps and time to do the project, and wants to select the most appropriate sampling or experimental study design.
1. Which one of the following is most appropriate for this study?
Group of answer choices:
a. Natural experiment (observational study)
b. Stratified sampling
c. Cluster sampling
d. Systematic sampling
Answer:
c. Cluster sampling
Step-by-step explanation:
Taking into account that the exercise researcher is looking with limited resources to study a population that is divided, her best option is cluster sampling, which is a method applicable to this type of population, we could select in each group randomly her sample, the observational study is discarded because she does not have much availability of time or resources, nor would the stratified study be useful because she should select subgroups and create them to take samples and this would take more time and resources and sampling systematic is not adequate because it must have all the individuals and after having the list select the sample, but as we know, it is a process that will study the number of individuals so this option is not feasible.
Answer:
Cluster sampling
Step-by-step explanation:
Cluster sampling is almost always more economical or more practical than stratified sampling or simple random sampling as it reduces costs by increasing sampling efficiency. Due to the fact that she has limited resources, this method is better to observe clusters of units in a population than randomly selected distributed in the local nature preserve and this method is more economical and quick.
6th grade math help :D..
Answer:
1. A
Because 0.08*24= $1.92
2. C
Because 0.09*15=$1.35
Answer:
1.A
2.C
Step-by-step explanation:
Gina bought the small plastic boxes below. A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 7 centimeters.A rectangular prism with a length of 4 centimeters, width of 3 centimeters, and height of 10 centimeters. Which container requires more plastic to make, and how much more plastic is needed? The container on the right is made of 2 centimeters squared more plastic. The container on the left is made of 2 centimeters squared more plastic. The container on the right is made of 20 centimeters squared more plastic. The container on the left is made of 20 centimeters squared more plastic.
Answer:the answer is The container on the left is made of 2 centimeters squared more plastic.
Step-by-step explanation:
i took the test
The container on the right is made of 2 centimeters squared more plastic.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given two rectangular containers.
We have to find the surface area of both the containers.
Surface area of a rectangular prism = 2[(l × w) + (w × h) + (l × h)]
Here l, w and h are the length, width and height of the rectangular prism.
For the first rectangular prism,
Surface area = 2 [(5 × 4) + (4 × 7) + (5 × 7)] = 166 cm²
For the second rectangular prism,
Surface area = 2 [(4 × 3) + (3 × 10) + (4 × 10)] = 164 cm²
Hence the container on the right is made of 2 centimeters squared more plastic.
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What is the slope of the line whose equation is y -2/3 = 0?
Answer: The slope is 0.
Step-by-step explanation:
y -2/3=0
+2/3. +2/3
y=2/3
Which statements about the cone are true? Check all that apply. The radius is double the diameter. The radius is 9 mm. The base area is calculated using the radius. The volume is one-third the volume of a cylinder with the same height and diameter. The volume of the cone is
Step-by-step explanation:
I think the question is incomplete without an attachment of the diagram of the cone, but we can make do with the information provided.
This problem test our knowledge on the mensuration of solid shape, cone and cylinder.Back to our question. the statements that apply are
The base area is calculated using the radiusThe volume is one-third the volume of a cylinder with the same height and diameter .the volume of the cone is expressed as [tex]v= \frac{1}{3}\pi r^{2}h[/tex]Answer:
2 3 4 5
Step-by-step explanation:
6+ (-x) + 2x + (-7) + 2x
Answer:
3x-1
Step-by-step explanation:
6 +(-x) +2x + (-7) + 2x=
6-x +2x -7 + 2x =
6-7+ 2x+2x-x=
-1 + 3x=
3x-1
In a system of equations, WHAT
lines would have the same slope and thus there would be no solution for the system.
Answer:
Parallel Lines: If the two linear equations have the same slope (and different y-intercepts), the lines will be parallel. Since parallel lines never intersect, a system composed of two parallel lines will have NO solution (no intersection of the lines.)
Step-by-step explanation:
in schools lesson are 55 minutes long A Science lesson ends At 2:30 PM What time does it start
Answer:
1:35
Step-by-step explanation:
Answer:
1: 35pm
Step-by-step explanation:
A birthday party caterer counted the number of juice cups on the table. The cups contained different flavored juices and different shaped straws.
Heart-shaped straw Star-shaped straw
Orange juice 9 3
Grape juice 4 4
Pineapple juice 5 8
What is the probability that a randomly selected cup contains orange juice or contains a heart-shaped straw?
Simplify any fractions.
Let f(x) = -2x -1, h(x)= -x -3 find (f ° h)(-3)
Answer:
(f o h)(-3) = -1
Step-by-step explanation:
(f o h)(x) = -2(-x - 3) - 1
(f o h)(x) = 2x + 6 - 1
(f o h)(x) = 2x + 5
(f o h)(-3) = 2(-3) + 5
(f o h)(-3) = -6 + 5
(f o h)(-3) = -1
fifty dived by half minus of forty what is the answer?
Step-by-step explanation:
50÷1/2-40
50×2-40
100-40
60
the answer is 60
Answer:60
Step-by-step explanation:if the equation is 50/.5-40, the first step is to turn them into fractions 50/1 and 50/100 (or 1/2) then you flip the second fraction and change the sign to multiply so it would be 50/1x2/1.
Y=50/.5-40
Y=50/1x2/1-40
Y=100-40
That leaves you with 100/1 (or 100). Then you subtract 40 from 100
100-40=60
A linear regression was conducted on the number of cigarettes a person smokes in a day versus the number of times they cough in a day. Suppose the number of cigarettes a person smokes in a day is our x variable and the number of times they cough in a day is the y variable.
In linear regression, the y variable is referred to as the:
a) response variable.
b) correlation coefficient.
c) explanatory variable.
d) true variable.
Answer:
a) response variable
Step-by-step explanation:
The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.
In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.
In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".